NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2012, 3 (2), P. 29–36
QUASI-FRACTALS: NEW POSSIBILITIES IN DESCRIBING OF THE SELF-SIMILAR CLUSTERS
Alexander Alekhin – Kazan (Volga Region) Federal University, Institute of Physics, Kazan city, Russia, Theoretical Physics Departament, engineer, firstname.lastname@example.org
In this paper we propose a method for parameterization of fractal clusters which allows us to represent as quasi-fractals. The quasi-fractals are self-similar objects with a slower (logarithmic) scaling in comparison with conventional fractals. The proposed method on flat clusters, obtained by the model of Witten-Sander in which dipole-dipole and charge-dipole
interactions between particles were additionally introduced is tested. The results suggest that these clusters can be interpreted as fractals and as quasi-fractals but in the second case we have a clear connection between external conditions of growth and geometry of the clusters (in terms of new fitting parameters).
Keywords: fractals, quasi-fractals, parameterization, computer simulation.
UDC 539.211, 539.4.015.1
PACS 05.45.Df, 61.43.Hv, 83.10.Rs